Given numbers are 940,112,730,440,614

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 940,112,730,440,614 is 6488432720.

Find LCM of 940,112,730,440,614 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 47 x 14 x 73 x 11 x 307 = 6488432720

Therefore, the lowest common multiple of 940,112,730,440,614 is 6488432720.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

940 x 112 x 730 x 440 x 614 = 20762984704000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

730 : 1, 2, 5, 10, 73, 146, 365, 730

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,112,730,440,614, is 2.

Now, the common factors can be found like this.

940:2x 2x 5x 47

112:2x 2x 2x 2x 7

730:2x 5x 73

440:2x 2x 2x 5x 11

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 20762984704000/(2x1600)

LCM = 20762984704000/3200

LCM = 6488432720

Thus, we can understand that the LCM of 940,112,730,440,614 is 6488432720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 266, 597, 912, 786, 683
• LCM of 563, 677, 655, 977, 674
• LCM of 689, 709, 488, 653, 314
• LCM of 991, 127, 191, 583, 457
• LCM of 854, 474, 132, 999, 591

1. What is the LCM of 940, 112, 730, 440, 614?

Answer: LCM of 940, 112, 730, 440, 614 is 6488432720.

2. How to calculate the LCM of 940, 112, 730, 440, 614?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 940, 112, 730, 440, 614.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.